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Popular >

inverse of f(x)=a+1/(x-a)

Solution

inverse

f (x) = a + \frac{1}{x - a}

Solution

\frac{1 + a x - a ^{2}}{x - a}

Solution steps

y = a + \frac{1}{x - a}

Replace

x

with

y

x = a + \frac{1}{y - a}

Solve for

y, x = a + \frac{1}{y - a}

\frac{1 + a x - a ^{2}}{x - a}

Popular Examples

inverse of f(x)=((x^2))/3 inverse

f (x) = \frac{( x ^{2} )}{3}

inverse of f(x)= s/(s^2-3s)inverse

f (x) = \frac{s}{s ^{2} - 3 s}

inverse of (3s+2)/(s^2+2s+10)inverse

\frac{3 s + 2}{s ^{2} + 2 s + 10}

inverse of f(x)=((x+3))/(4x-2)inverse

f (x) = \frac{( x + 3 )}{4 x - 2}

inverse of sqrt(64x^2)inverse

64 x^{2}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=a+1/(x-a) ?
The inverse of f(x)=a+1/(x-a) is (1+ax-a^2)/(x-a)